Search a number
-
+
93304224 = 253513271
BaseRepresentation
bin1011000111110…
…11010110100000
320111120100100000
411203323112200
5142341213344
613131500000
72212033656
oct543732640
9214510300
1093304224
1148738932
12272b7600
131643ac00
14c56add6
1582d0a69
hex58fb5a0

93304224 has 216 divisors, whose sum is σ = 302152032. Its totient is φ = 28304640.

The previous prime is 93304171. The next prime is 93304229. The reversal of 93304224 is 42240339.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93304229) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1314109 + ... + 1314179.

It is an arithmetic number, because the mean of its divisors is an integer number (1398852).

Almost surely, 293304224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93304224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151076016).

93304224 is an abundant number, since it is smaller than the sum of its proper divisors (208847808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

93304224 is a wasteful number, since it uses less digits than its factorization.

93304224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 93304224 is about 9659.4111621775. The cubic root of 93304224 is about 453.5589784017.

It can be divided in two parts, 93304 and 224, that added together give a triangular number (93528 = T432).

The spelling of 93304224 in words is "ninety-three million, three hundred four thousand, two hundred twenty-four".